An aerial photographer who photographs real estate properties has determined that the best photo is taken at a height of approximately 480 ft and a distance of 831 ft from the building. What is the angle of depression from the plane to the​ building?

Respuesta :

Using the slope concept, it is found that the angle of depression from the plane to the​ building is of 30º.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we have that:

  • The height of 480 ft is the vertical change.
  • The distance of 831 ft is the horizontal change.

Hence, the angle of depression x is found as follows:

tan(x) = 480/831

x = arctan(480/831)

x = 30º.

The angle of depression from the plane to the​ building is of 30º.

More can be learned about the slope concept at https://brainly.com/question/18090623

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